Question

solve the equation.
\\(\dfrac{3x}{5} - 4 = x\\)
\\(\bigcirc\\) a. \\(\\{10\\}\\)
\\(\bigcirc\\) b. \\(\\{40\\}\\)
\\(\bigcirc\\) c. \\(\\{-10\\}\\)
\\(\bigcirc\\) d. \\(\\{20\\}\\)

Explanation:

Step1: Eliminate the fraction

Multiply each term in the equation $\frac{3x}{5}-4 = x$ by 5 to get rid of the denominator. So we have $5\times\frac{3x}{5}-5\times4 = 5\times x$, which simplifies to $3x - 20 = 5x$.

Step2: Move the x terms to one side

Subtract $3x$ from both sides of the equation $3x - 20 = 5x$. This gives $3x - 3x - 20 = 5x - 3x$, so $-20 = 2x$.

Step3: Solve for x

Divide both sides of the equation $-20 = 2x$ by 2. We get $\frac{-20}{2}=\frac{2x}{2}$, which simplifies to $x = - 10$.

Answer:

C. $\{-10\}$